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My name is Ann [436]

3 years ago

13

A painter wants to make a light green paint them anything 3 gallons of blue paint with 5 gallons of yellow paint so that the rat

io of blue to yellow paint is 3:5 on the line below right the unit rate associated with the ratio 3:5

1 answer:

Vesnalui [34]3 years ago

4 0

for every 3 gallons of blue paint there is an additional 5 gallons of yellow paint

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Pleaaasseee help!!! BRAINLIEST FOR CORRECT ANSWER!! What is the transformation rule for a translation 3 units right?

garri49 [273]

Answer:

Rule: replace x by x - a where a is the number of units that you want to move right. a must be greater than 0. x - - a would move left.

Step-by-step explanation:

You want f(x) to move 3 units to the right.

That would mean that x would be replaced by x - 3. Just to be sure let's try it.

Suppose you have f(x) = x^2 + 6x + 5 It is graphed as the red line
Now suppose you want to move 3 units right.
It would replaced like f(x - 3) = (x - 3)^2 + 6(x - 3) + 5 which is the blue line
Notice nothing else is changed. The blue line looks exactly like the red line except that it is shifted 3 units to the right.

4 0

2 years ago

-14^2-8+3-6x^2+7x-11

denis-greek [22]

The answer is <span><span>−<span>6<span>x2</span></span></span>+<span>7x</span></span>−<span>212</span>

5 0

3 years ago

Help algebra word problems a quire of paper consists of 25 sheets, and a ream of paper consists of 500 sheets. how many quires a

Natali5045456 [20]

Good morning from Canada!

What we know:
-quire=25 sheets
-ream=100 sheets

So, we are looking for how many quires can fit into a ream. All we have to do is divide the number of sheets in a ream (100) by the number of sheets in a quire (25) because dividing allows us to see how many times a specific number can go into another number, which is what we are looking for. (How many quires are in a ream).

100/25=4

Therefore 4 quires can fit into a ream.

Hope this helps!

3 0

2 years ago

Janeel has a 10-inch by 12-inch photograph. She wants to scan the photograph, then reduce the result

Vaselesa [24]

<u>Complete Question:</u>

Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.

<u>Correct Answer:</u>

A) $(10-x)(12-x)=15$

B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

<u>Step-by-step explanation:</u>

a. Write an equation to represent the area of the reduced image.

Let the reduced dimensions is by x , So the new dimensions are

$length=10-x\\breadth=12-x$

According to question , Area of new image is :

⇒ $Area = \frac{1}{8}Length(breadth)$

⇒ $Area = \frac{1}{8}(10)(12)$

⇒ $Area = 15$

So the equation will be :

⇒ $(10-x)(12-x)=15$

b. Find the dimensions of the reduced image

Let's solve : $(10-x)(12-x)=15$

⇒ $120-10x-12x+x^2=15$

⇒ $120-22x+x^2=15$

⇒ $x^2-22x+105=0$

By Quadratic formula :

⇒ $x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $x = \frac{22 \pm8 }{2}$

⇒ $x = \frac{22 +8 }{2} , x = \frac{22 -8 }{2}$

⇒ $x = 15 , x =7$

x = 15 is rejected ! as 15 > 10 ! Side can't be negative

⇒ $x =7$

Therefore, Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

5 0

2 years ago

wolverine [178]

Answer:

Ivy is 6 years old and Rose is 12 years old.

Step-by-step explanation:

To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.

Ivy's age will be $x$

and Rose's age will be $y$

"Ivy is half as old as her sister":

$x=\frac{y}{2}$

this will be our <u>fist equation.</u>

"In six years, Ivy will be two-thirds as old as Rose"

in six years Ivy will have $x+6$ years, and Rose will have $y +6$ years, so for this sentence we have the equation:

$x+6=\frac{2}{3}(y+6)$

this will be our <u>second equation.</u>

Substituting the value of x from the first equation into the second, and solving for y(Rose):

$\frac{y}{2}+6=\frac{2}{3} (y+6)\\\frac{y+12}{2} =\frac{2}{3} (y+6)\\y+12=\frac{4}{3} (y+6)\\3(y+12)=4(y+6)\\3y+36=4y+24\\36-24=4y-3y\\12=y$

Rose is 12 years old.

and Ivy (using the fist equation):

$x=\frac{12}{2}=6$

Ivy is 6 years old.

6 0

3 years ago